Chemistry (7th Edition)

Published by Pearson
ISBN 10: 0321943171
ISBN 13: 978-0-32194-317-0

Chapter 15 - Aqueous Equilibria: Acids and Bases - Worked Example - Page 615: 10

Answer

$[H_3O^+] = [OH^-] = 2.345 \times 10^{-7}M$

Work Step by Step

Neutral solution: $[H_3O^+] = [OH^-]$ So, we can use a unknown named "x", that has this value: $[H_3O^+] = [OH^-] = x$ Now, we can use the "Kw" equation: $[H_3O^+] \times [OH^-] = K_w$ $x \times x = 5.5 \times 10^{-14}$ $x^2 = 5.5 \times 10^{-14}$ $x = \sqrt {5.5 \times 10^{-14}}$ $x = 2.345 \times 10^{-7}$ So: $[H_3O^+] = [OH^-] = 2.345 \times 10^{-7}M$
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